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Ideal for students whose mastery of algebraic topology may be a work-in-progress, the text introduces key notions such as fundamental groups, homology groups, and the Euler-Poincaré characteristic. These prerequisites are the subject of detailed appendices that enable focused, discrete learning where it is required, without interrupting the carefully planned structure of the core exposition. Gently guiding readers through the principles, theory, and applications of the classification theorem, the authors aim to foster genuine confidence in its use and in so doing encourage readers to move on to a deeper exploration of the versatile and valuable techniques available in algebraic topology.
Ideal for students whose mastery of algebraic topology may be a work-in-progress, the text introduces key notions such as fundamental groups, homology groups, and the Euler-Poincaré characteristic. These prerequisites are the subject of detailed appendices that enable focused, discrete learning where it is required, without interrupting the carefully planned structure of the core exposition. Gently guiding readers through the principles, theory, and applications of the classification theorem, the authors aim to foster genuine confidence in its use and in so doing encourage readers to move on to a deeper exploration of the versatile and valuable techniques available in algebraic topology.
Student-centred guide offering comprehensive-and comprehensible-treatment of the classification theorem for compact surfaces
A short proof using graph theory (due to Thomassen) that every compact surface can be triangulated
Accessible to undergraduate students without assuming too much background ?
Includes supplementary material: [...]
| Erscheinungsjahr: | 2013 |
|---|---|
| Fachbereich: | Geometrie |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Seiten: | 192 |
| Reihe: | Geometry and Computing |
| Inhalt: |
xii
178 S. 58 s/w Illustr. 20 farbige Illustr. 178 p. 78 illus. 20 illus. in color. |
| ISBN-13: | 9783642343636 |
| ISBN-10: | 3642343635 |
| Sprache: | Englisch |
| Ausstattung / Beilage: | HC runder Rücken kaschiert |
| Einband: | Gebunden |
| Autor: |
Xu, Dianna
Gallier, Jean |
| Auflage: | 2013 |
| Hersteller: |
Springer Berlin
Springer Berlin Heidelberg Geometry and Computing |
| Maße: | 241 x 160 x 16 mm |
| Von/Mit: | Dianna Xu (u. a.) |
| Erscheinungsdatum: | 06.02.2013 |
| Gewicht: | 0,459 kg |
Student-centred guide offering comprehensive-and comprehensible-treatment of the classification theorem for compact surfaces
A short proof using graph theory (due to Thomassen) that every compact surface can be triangulated
Accessible to undergraduate students without assuming too much background ?
Includes supplementary material: [...]
| Erscheinungsjahr: | 2013 |
|---|---|
| Fachbereich: | Geometrie |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Seiten: | 192 |
| Reihe: | Geometry and Computing |
| Inhalt: |
xii
178 S. 58 s/w Illustr. 20 farbige Illustr. 178 p. 78 illus. 20 illus. in color. |
| ISBN-13: | 9783642343636 |
| ISBN-10: | 3642343635 |
| Sprache: | Englisch |
| Ausstattung / Beilage: | HC runder Rücken kaschiert |
| Einband: | Gebunden |
| Autor: |
Xu, Dianna
Gallier, Jean |
| Auflage: | 2013 |
| Hersteller: |
Springer Berlin
Springer Berlin Heidelberg Geometry and Computing |
| Maße: | 241 x 160 x 16 mm |
| Von/Mit: | Dianna Xu (u. a.) |
| Erscheinungsdatum: | 06.02.2013 |
| Gewicht: | 0,459 kg |
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